1328241763968 has 256 divisors, whose sum is σ = 4064713056000. Its totient is φ = 376442486784.

The previous prime is 1328241763963. The next prime is 1328241764033. The reversal of 1328241763968 is 8693671428231.

It is not an unprimeable number, because it can be changed into a prime (1328241763963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285702508 + ... + 285707156.

It is an arithmetic number, because the mean of its divisors is an integer number (15877785375).

Almost surely, 2^{1328241763968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328241763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032356528000).

1328241763968 is an abundant number, since it is smaller than the sum of its proper divisors (2736471292032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1328241763968 is a wasteful number, since it uses less digits than its factorization.

1328241763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5495 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 1328241763968 in words is "one trillion, three hundred twenty-eight billion, two hundred forty-one million, seven hundred sixty-three thousand, nine hundred sixty-eight".